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- A strong form of König’s lemma October 21, 2017
- Prikry forcing may add a Souslin tree June 12, 2016
- The reflection principle $R_2$ May 20, 2016
- Prolific Souslin trees March 17, 2016
- Generalizations of Martin’s Axiom and the well-met condition January 11, 2015
- Many diamonds from just one January 6, 2015
- Happy new jewish year! September 24, 2014
- Square principles April 19, 2014

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Cardinal function Singular cardinals combinatorics incompactness Sakurai's Bell inequality Ascent Path Whitehead Problem reflection principles Fat stationary set PFA(S)[S] Square-Brackets Partition Relations Chang's conjecture specializable Souslin tree Dushnik-Miller Uniformization Rado's conjecture Club Guessing Stevo Todorcevic Selective Ultrafilter Uniformly coherent Antichain Nonspecial tree Aronszajn tree Slim tree Cardinal Invariants Erdos Cardinal Large Cardinals Luzin set P-Ideal Dichotomy Jonsson cardinal OCA Generalized Clubs stationary reflection Partition Relations diamond star Poset Successor of Singular Cardinal b-scale Minimal Walks Knaster Chromatic number Universal Sequences Axiom R Diamond very good scale Successor of Regular Cardinal Rock n' Roll Weakly compact cardinal sap Distributive tree free Boolean algebra coloring number 11P99 super-Souslin tree Almost Souslin Prevalent singular cardinals Prikry-type forcing Ostaszewski square free Souslin tree L-space Souslin Tree Reduced Power Kurepa Hypothesis PFA tensor product graph 05A17 Almost countably chromatic square polarized partition relation Almost-disjoint famiy Hedetniemi's conjecture Foundations Hindman's Theorem Fodor-type reflection Parameterized proxy principle HOD Small forcing Forcing Axioms weak square Forcing stationary hitting Hereditarily Lindelöf space square principles Martin's Axiom Coherent tree Absoluteness Singular coﬁnality ccc S-Space approachability ideal Shelah's Strong Hypothesis Rainbow sets Postprocessing function weak diamond Microscopic Approach Erdos-Hajnal graphs middle diamond Mandelbrot set Constructible Universe Non-saturation Cohen real Singular Density projective Boolean algebra Commutative cancellative semigroups xbox Fast club

# Tag Archives: 03E50

## Jensen’s diamond principle and its relatives

This is chapter 6 in the book Set Theory and Its Applications (ISBN: 0821848127). Abstract: We survey some recent results on the validity of Jensen’s diamond principle at successor cardinals. We also discuss weakening of this principle such as club … Continue reading